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Solved
Easy Sequences 93: Recursive Polynomial Function
For a natural number and a polynomial function , we define a recursive function , as follows: , and ...
5 hours ago
Solved
Easy Sequences 92: Number of Roots of a System of Linear Diophantine Equations
One of the tasks that Matlab is very good at, is in solving systems of linear equations. In this problem we shall tackle a sys...
5 hours ago
Solved
Easy Sequences 91: Generalized McCarthy-91 Recursive Function
The McCarthy 91 function is a recursive function, defined by the computer scientist John McCarthy as a test case for formal veri...
6 hours ago
Solved
Easy Sequences 90: Triple Summation of a Combinatorial Function
Given a positive integer , we are asked to evaluate the following triple summation: The symbol is the combin...
6 hours ago
Solved
Easy Sequences 89: Double Summation of a Trigonometric Product
Given and angle in radians and a positive integer , evaluate the following product summation: which 'dir...
6 hours ago
Solved
Easy Sequences 88: Double Summation of a Combinatorial Function
Given two positive integers and , , we define the function as the sum of the reciprocals of the products of all combinations o...
6 hours ago
Solved
Easy Sequences 87: Perfect Power Modular Residue of a Nested Sum-product Function
For a positive integer , we define the function , as follows: ; and for . He...
6 hours ago
Solved
Easy Sequences 86: The "real" Hyperprimorials
In Easy Sequences 85, we define the hyperprimorial of , as a exponent ladder of primes numbers from the -th prime down to first ...
8 hours ago
Solved
Easy Sequences 85: Hyperprimorials
Given an integer , the primorial of , , is defined as product of all primes from to the -th prime. In other words, if is the ...
8 hours ago
Solved
Easy Sequences 84: Digits of Powers of 5
OEIS sequence #A008566, deals with the following series: This sequence is the digits of powers of 5 listed si...
8 hours ago
Solved
Easy Sequences 83: Digits of Powers of 3
This problem is a simpler version of 'Easy Sequences 82: Digits of Powers of 2'. Given integers and , we are asked to return th...
8 hours ago
Solved
Easy Sequences 82: Digits of Powers of 2
In Project Euler Problem #16, we are asked for sum of the digits of powers of 2. Here we will be asked for more than that. Give...
8 hours ago
Solved
Radar Doppler Blind Velocity Detection
In a pulsed Doppler radar, some target radial velocities cannot be measured correctly because of Doppler ambiguity. These veloci...
9 hours ago
Solved
Easy Sequences 78: Trailing Zeros of Factorial Numbers at any Base
Given an integer and a number base , write a function that calculates the number of trailing zeros of the factorial of when wr...
1 day ago
Solved
Easy Sequences 72: Complete Graph
In Graph Theory, we say a graph is a Complete Graph, if all of its nodes are connected to evey other nodes in the graph. Example...
1 day ago
Solved
Easy Sequences 71: A Nonlinear Function with Quadratic Domain
Consider the function: The outputs of this function are fed as domain to another function: ...
1 day ago
Solved
Easy Sequences 70: Inflection Points of Binomial Product Function
Inflection points are points along the graph curve of a function, where the curvature of the curve changes from concave to conve...
1 day ago
Solved
Easy Sequences 67: Project Euler Problem 1 - Not Again!!!
You know the drill... Given two integers and , with , find the sum of all positive integers below , that are multiples of any ...
1 day ago
Solved
Calculation of Radar Dwell Time
This problem aims to determine the dwell time of a 2D-search radar antenna. The function takes as input the antenna horizontal b...
1 day ago
Solved
Monostatic Radar Received Power Calculation
This problem aims to determine the received power of a monostatic radar system. The function takes as input the main radar param...
1 day ago
Solved
Radar Unambiguous Range Determination
This problem aims to determine the radar unambiguous range based on the Pulse Repetition Frequency (PRF). The function takes the...
1 day ago
Solved
Calculate Radar Pulse Energy
Compute the energy contained in a single radar pulse. The inputs are the peak power Pp (W) and the pulse width PW (s). The pulse...
1 day ago
Solved
Compute Average Power of a Pulsed Radar
Compute the average transmitted power of a pulsed radar over one pulse repetition time. The inputs are the peak power Pp (Watt [...
1 day ago
Solved
Compute Radar Wavelength from Frequency
Radar systems operate at electromagnetic frequencies. The wavelength of the transmitted signal is related to the operating frequ...
1 day ago
Solved
Compute Radar Duty Cycle
A pulsed radar transmitter operates for a limited amount of time during each transmission cycle. The duty cycle represents the f...
1 day ago
Solved
Radar Target Distance Calculation
A radar system sends a short electromagnetic pulse toward a target and measures the elapsed time between transmission and recept...
1 day ago
Solved
Jump Search - 02
Find the number of leaps you need to take to find the 'first occurrence' of an element in an array using the jump search algorit...
2 days ago
Solved
Jump Search - 01
Find the number of leaps you need to take to find an element in an array using the jump search algorithm. For example, a=[ 2,...
2 days ago
Solved
Magic Matrix
We are all familiar with the concept of magic matrix. In a magic matrix, the summation of all rows, columns and both diagonals...
2 days ago
Solved
Chain multiplication - 05
Following up on the problem in 55305, you found the optimal way of multiplying a chain of matrices. In problem 55315, you had t...
2 days ago
